eq_sheet1 - Equation Sheet 1 Ch. 16 Transverse wave on...

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Equation Sheet 1 Ch. 17 Speed of sound Traveling sound wave in x-direction cos( ) Pressure change: sin( ) () Phase difference between 2 sound waves 2 0,1, 2,. .. fully construct. m m mm B v ss k x t pp k xt pv s L L ρ ω ρω φπ λ = =− Δ= Δ Δ = Δ = 22 2 12 2 0 0 interference 135 , , ,...fully destruct. interference 222 Sound intensity 1 42 Sound level (1 0 d B ) lo g , 1 0 W /m Standing sound wave in pipe open at both ends , 1, 2,3,. .. 2 S s m L P P Iv s Ar I I I vn v fn L π β Δ = == = = tanding sound wave in pipe open at one end , 1,3,5,. 4 Beats: Doppler effect: Shock wave: sin beat D s s v L ff f vv v v θ = ± ′ = ± = 2 Ch. 16 Transverse wave on string 2 2; Wave equation 1 Sinusoidal traveling wave in x-direction (,) s i n ( ) Average power delivered by wave 1 2 m avg m fk T yy xv t yxt y k x t vf Tk Py ππ τ ωπ λμ ωφ λω τ μ μνω = = ∂∂ = + = = = ( ) Interference of waves '( , ) sin sin 11 '( , ) [2 cos ]sin( ) Standing waves (,) [ 2 s i n ] c o s String, fixed ends, resonant frequencies ,1 , 2 , 3 , . . .
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